# Example Of Associative Property

**Example Of Associative Property**. Example of associative property for addition Examples of the associative property for addition the picture below illustrates that it does not matter whether or not we add the 2 + 7 first (like the left side) or the 7 + 5 first, like the right side.

The associative property involves three or more numbers. The associative property states that when adding or multiplying a series of numbers, it does not matter how the terms are ordered. Scroll down the page for more examples, explanations and solutions. Associative property can only be used with addition and multiplication and not with subtraction or division. According to the associative property, the addition or multiplication of a set of numbers is the same regardless of how the numbers are grouped. Changing the grouping of addends does not change the sum. Commutative, associative and distributive laws. For example, we can express it as, (a + b) + c = a + (b + c). (a ∪ b) ∪ c = a ∪ (b ∪ c) and (a ∩ b) ∩ c = a ∩ (b ∩ c) example:

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By grouping we mean the numbers which are given inside the parenthesis (). Numbers that are added can be grouped in any order. But the ideas are simple. Some examples of associative operations include the following. (a ∪ b) ∪ c = a ∪ (b ∪ c) and (a ∩ b) ∩ c = a ∩ (b ∩ c) example: According to the associative property, the addition or multiplication of a set of numbers is the same regardless of how the numbers are grouped. For associative property of addition, the rule is a + (b + c) = (a + b) + c, for example, 2 + (3 + 4) = (2 + 3) + 4 ⇒2+7 = 5+4. Commutative, associative and distributive laws. Example of associative property for addition The associative property states that the grouping of factors in an operation can be changed without affecting the outcome of the equation. An operation is associative if a change in grouping does not change the results. According to the associative property of addition, the sum of three or more numbers remains the same regardless of how the numbers are grouped. Look at the image given below which shows the formula of associative property of addition where a, b, c are the numbers. The following table summarizes the number properties for addition and multiplication: The associative property for union and the associative property for intersection says that how the sets are grouped does not change the result. Let a = {a, n, t}, b = {t, a, p}, and c = {s, a, p}. It basically let's you move the numbers. To associate means to connect or join with something.

### (i) set intersection is associative.